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人気のある微分積分 >

integral from-2 to 5 of (3+x-2|x|)

解

\int_{- 2}^{5} (3 + x - 2 ∣ x ∣) d x

解

\frac{5}{2}

+1

十進法表記

2.5

解答ステップ

\int_{- 2}^{5} 3 + x - 2 ∣ x ∣ d x

絶対数を排除する

= \int_{- 2}^{0} 3 + x - 2 (- x) d x + \int_{0}^{5} 3 + x - 2 x d x

\int_{- 2}^{0} 3 + x - 2 (- x) d x = 0

\int_{0}^{5} 3 + x - 2 x d x = \frac{5}{2}

= 0 + \frac{5}{2}

簡素化

= \frac{5}{2}

グラフ

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